Ответ:
2. Представьте в виде дроби:
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а)
\(\frac{3-2a}{2a} - \frac{1-a^{2}}{a^{2}} = \frac{a(3-2a) - 2(1-a^{2})}{2a^{2}} = \frac{3a-2a^{2}-2+2a^{2}}{2a^{2}} = \frac{3a-2}{2a^{2}}\)
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б)
\(\frac{1}{3x+y} - \frac{1}{3x-y} = \frac{(3x-y) - (3x+y)}{(3x+y)(3x-y)} = \frac{3x-y-3x-y}{9x^{2}-y^{2}} = \frac{-2y}{9x^{2}-y^{2}}\)
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в)
\(\frac{4-8b}{b^{2}-2b} + \frac{3}{b-2} = \frac{4(1-2b)}{b(b-2)} + \frac{3}{b-2} = \frac{4-8b+3b}{b(b-2)} = \frac{4-5b}{b(b-2)}\)
Ответ: а) \(\frac{3a-2}{2a^{2}}\), б) \(\frac{-2y}{9x^{2}-y^{2}}\), в) \(\frac{4-5b}{b(b-2)}\)
